Answer:
See explanation below.
Step-by-step explanation:
For this case we can create a table in order to can make the plot. Is important to remember that the natural log of negative numbers is not defined. And the domanin for this function is [tex] x \in (0,\infty)[/tex]
x y = ln|x|
0.5 ln(0.5)= -0.693
1 ln(1)= 0
1.5 ln(1.5)= 0.405
2 ln(2) =0.693
e=2.7183 ln(e) =1
3 ln(3)= 1.099
3.5 ln(3.5) =1.253
4 ln(4) =1.386
4.5 ln(4.5)=1.504
5 ln(5) =1.609
..... ..........
100 ln(100) =4.605
..... ...........
1000 ln(1000) =6.908
And we see that the function begin to increase. The plot for the function with some points is on the figure attached.
